Practicing Success
In ΔACE, B and D are the points on side AC and CE respectively, such that BD ll AE, AE = \(\frac{9}{5}\)BD. What is the ratio of the area of ΔBCD to that of ΔAEC? |
16 : 25 81 : 25 25 : 81 81 : 16 |
25 : 81 |
BD ll AE ΔACE ∼ ΔBCD \(\frac{area\;of\;ΔACE}{area\;of\;ΔBCD}\) = (\(\frac{AE}{BD}\))2 = \(\frac{81}{25}\) ratio of area = 25 : 81 |